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Question

The coordinates of the point(s) which divide(s) the line segment joining the point (5,2) and (9,6) in the ratio 3:1, are

A
(11,10)
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B
(8,4)
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C
(10,11)
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D
(4,8)
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Solution

The correct option is B (8,4)
Let A(5,2) and B(9,6).
Let P(x,y) divides AB in the ratio 3:1.

When division is internal,
P(3(9)+1(5)3+1,3(6)+1(2)3+1)P(8,4)

When division is external,
P(3(9)1(5)31,3(6)1(2)31)P(11,10)

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